Enhancing the sensitivity of amplification of rotation velocity in Sagnac's interferometer with biased weak measurement

TL;DR

This paper proposes a novel method using biased weak measurement to enhance the sensitivity of rotation velocity detection in Sagnac interferometers, outperforming standard weak measurement techniques.

Contribution

The paper introduces a BWM-based scheme for rotation velocity detection in Sagnac interferometers, demonstrating improved sensitivity over traditional methods.

Findings

BWM scheme achieves higher sensitivity than SWM.

Numerical results confirm enhanced detection precision.

Method leverages photon reduction via pre-coupling.

Abstract

Recently, biased weak measurement(BWM) has shown higher precision than both conventional measurement and standard weak measurement(SWM) in optical metrology. In this paper, we propose a scheme of detecting rotation velocity in Sagnac's interferometer with BWM. In particular, BWM employs an additional reduction of photons in the post-selection by introducing a pre-coupling, and the remaining photons have been shown to be extremely sensitive to the estimated parameter. In addition, our numerical results show that the scheme with BWM can obtain a higher sensitivity than the scheme with SWM.